Chapter 2: Q14. (page 78)

Translate the following sentence into a formula:
“One-third the product of the length of the side squared and the height is the volume of a pyramid with a square base”.

Short Answer

Expert verified

The formula is $V = \frac{1}{3} x^{2} h$ .

Step by step solution

Step 1. Given information.

The given sentence is:

One-third of the product of the length of the side squared and the height is the volume of the pyramid with a square base.

Step 2. Mention the algebraic variables.

Consider the Volume of the pyramid be V, length of the side be x and the height of the cone be h.

Step 3. Write the formula.

Since the square of the side is $x^{2}$ and one-third of the product of the length of the side squared and the height is $\frac{1}{3} x^{2} h$ .

Therefore, the formula becomes:

$V = \frac{1}{3} x^{2} h$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Translate the following sentence into a formula:
“One-third the product of the length of the side squared and the height is the volume of a pyramid with a square base”.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Mention the algebraic variables.

Step 3. Write the formula.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Translate the following sentence into a formula:“One-third the product of the length of the side squared and the height is the volume of a pyramid with a square base”.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Mention the algebraic variables.

Step 3. Write the formula.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Translate the following sentence into a formula:
“One-third the product of the length of the side squared and the height is the volume of a pyramid with a square base”.